A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow: Modeling and Numerical Simulation. 2021. [PUMA: ians imported vorlaeufig]
A Molecular--Continuum Multiscale Solver for Liquid--Vapor Flow. Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting), (41)2021. [PUMA: ians imported vorlaeufig] URL
Error control for statistical solutions of hyperbolic systems of conservation laws. Calcolo, (58)2:Paper No. 23, 29, 2021. [PUMA: ians imported vorlaeufig] URL
An artificial Equation of State based Riemann solver for a discontinuous Galerkin discretization of the incompressible Navier–Stokes equations. J. Comput. Phys., 110705, 2021. [PUMA: ians imported vorlaeufig] URL
Consistent and asymptotic-preserving finite-volume domain decomposition methods for singularly perturbed elliptic equations. Domain Decomposition Methods in Science and Engineering XXVI, Lect. Notes Comput. Sci. Eng., Springer, Cham, 2021. [PUMA: ians imported vorlaeufig] URL
Determination of the Beavers-Joseph slip coefficient for coupled Stokes/Darcy problems. Adv. Water Res. (submitted), 2021. [PUMA: ians imported vorlaeufig] URL
Uncertainty Quantification in High Performance Computational Fluid Dynamics. In Wolfgang E. Nagel, Dietmar H. Kröner, and Michael M. Resch (Eds.), High Performance Computing in Science and Engineering '19, 355--371, Springer International Publishing, Cham, 2021. [PUMA: ians imported vorlaeufig]
Non-overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations. 2021. [PUMA: ians imported vorlaeufig] URL
Analysis of the Stokes-Darcy problem with generalised interface conditions. ESAIM Math. Model. Numer. Anal. (submitted), 2021. [PUMA: ians imported vorlaeufig] URL
Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics. In Kathrin Schulte, Cameron Tropea, and Bernhard Weigand (Eds.), Droplet Dynamics under Extreme Ambient Conditions, Springer, 2021. [PUMA: ians imported vorlaeufig]
Investigation of Crystal Growth in Enzymatically Induced Calcite Precipitation by Micro-Fluidic Experimental Methods and Comparison with Mathematical Modeling. Transp. Porous Media, (137)2:327--343, 2021. [PUMA: ians imported vorlaeufig] URL
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. BIT Numerical Mathematics, (60)3:619-649, 2020. [PUMA: ians imported vorlaeufig]
Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor. Complex Variables and Elliptic Equations, (65)1:109-140, Taylor & Francis, 2020. [PUMA: ians imported vorlaeufig]
An incompressible-compressible approach for droplet impact. In Gianpietro Cossali, and Simona Tonini (Eds.), Proceedings of the DIPSI Workshop 2019: Droplet ImpactPhenomena & Spray Investigations, Bergamo, Italy, 17th May 2019, 18-21, 2019. [PUMA: ians imported vorlaeufig] URL
Interface conditions for arbitrary flows in coupled porous-medium and free-flow systems. In R. Klöfkorn, E. Keilegavlen, F. Radu, and J. Fuhrmann (Eds.), Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, (323):345-353, Springer International Publishing, 2020. [PUMA: ians imported vorlaeufig]
A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media. Appl. Math. Comp., (384)2020. [PUMA: ians imported vorlaeufig] URL
DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling. Computers & Mathematics with Applications, 2020. [PUMA: ians imported vorlaeufig] URL
Verification benchmarks for single-phase flow in three-dimensional fractured porous media. 2020. [PUMA: ians imported vorlaeufig]
The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migration. Int. J. of Multiph. Flow, (107):82 - 103, 2018. [PUMA: imported vorlaeufig] URL
Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor. Complex Variables and Elliptic Equations, (65)1:109-140, Taylor & Francis, 2019. [PUMA: imported vorlaeufig] URL
Newtonian and Single Layer Potentials for the Stokes System with L∞ Coefficients and the Exterior Dirichlet Problem. In Sergei Rogosin, and Ahmet Okay Celebi (Eds.), Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday, 237--260, Springer International Publishing, Cham, 2019. [PUMA: imported vorlaeufig] URL
Boundary value problems for the Brinkman system with L∞ coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach. Journal de Mathématiques Pures et Appliquées, 131:17-63, November 2019. [PUMA: imported vorlaeufig]
Entropy solutions for weakly coupled hyperbolic systems in several space dimensions. Z. Angew. Math. Phys., (49)3:470--499, 1998. [PUMA: imported vorlaeufig] URL
High-order schemes, entropy inequalities, and nonclassical shocks. SIAM J. Numer. Anal., (37)6:2023--2060 (electronic), 2000. [PUMA: imported vorlaeufig] URL
Godunov-type schemes for the MHD equations. Godunov methods (Oxford, 1999), 209--216, Kluwer/Plenum, New York, 2001. [PUMA: imported vorlaeufig]
Existence, bifurcation, and stability of profiles for classical and non-classical shock waves. Ergodic theory, analysis, and efficient simulation of dynamical systems, 287--309, 814, Springer, Berlin, 2001. [PUMA: imported vorlaeufig]
FV-schemes for a scalar model problem of radiation magnetohydrodynamics. Finite volumes for complex applications, III (Porquerolles, 2002), 165--172, Hermes Sci. Publ., Paris, 2002. [PUMA: imported vorlaeufig]
The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas. Phys. D, (185)2:78--96, 2003. [PUMA: imported vorlaeufig] URL
A new approach to divergence cleaning in magnetohydrodynamic simulations. Hyperbolic problems: theory, numerics, applications, 509--518, Springer, Berlin, 2003. [PUMA: imported vorlaeufig]
A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation laws. Trends in nonlinear analysis, 289--306, Springer, Berlin, 2003. [PUMA: imported vorlaeufig]
Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori and a posteriori error estimates. Numer. Methods Partial Differential Equations, (21)1:104--131, 2005. [PUMA: imported vorlaeufig] URL
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms. SIAM J. Math. Anal., (37)1:103--129 (electronic), 2005. [PUMA: imported vorlaeufig] URL
Upscaling of a Tri-Phase Phase-Field Model for Precipitation in Porous Media. IMA J. Appl. Math., (81(5)):898-939, 2016. [PUMA: imported vorlaeufig] URL
The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques. M2AN Math. Model. Numer. Anal., (41)6:1089--1123, 2007. [PUMA: imported vorlaeufig] URL
Singular limits for a parabolic-elliptic regularization of scalar conservation laws. J. Differential Equations, (253)5:1399--1421, 2012. [PUMA: imported vorlaeufig] URL
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit. ZAMM Z. Angew. Math. Mech., (94)10:793-817, 2014. [PUMA: imported vorlaeufig] URL
A Conservative and Convergent Scheme for Undercompressive Shock Waves. SIAM J. Numer. Anal., (52)1:554-579, 2014. [PUMA: imported vorlaeufig] URL
Modeling sediment transport in three-phase surface water systems. J. Hydraul. Res. (accepted), 2018. [PUMA: imported vorlaeufig]
Minimal energy problems for strongly singular Riesz kernels. Mathematische Nachrichten, 291:55-85, 2018. [PUMA: imported vorlaeufig]